Question: A machine needs two types of components in order to function. We have a stockpile of n type-1 components and m type-2 components. Type-i components

A machine needs two types of components in order to function. We have a stockpile of n type-1 components and m type-2 components.

Type-i components last for an exponential time with rate , before failing. Compute the mean length of time the machine is operative if a failed component is replaced by one of the same type from the stockpile; that is, compute E[min(X, Y)], where the X,(Y) are exponential with rate ().

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